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Finding the Third Proportional to 12,367.69 and 27,195.75

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Solution

The third proportional to 12,367.69 and 27,195.75 is: 59,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.69 : 27,195.75 = 27,195.75 : x
  2. Step 2: Convert to fraction form
    12,367.69/27,195.75 = 27,195.75/x
  3. Step 3: Cross multiply
    12,367.69x = 27,195.75 × 27,195.75
  4. Step 4: Simplify right side
    12,367.69x = 739,608,818.06
  5. Step 5: Solve for x
    x = 739,608,818.06/12,367.69
  6. Step 6: Final answer
    x = 59,801.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.